Textbook
Chapter 1: Circular Measure
Chapter 2: Differentiation
Chapter 3: Integration
Chapter 4: Permutations and Combinations
Chapter 5: Probability Distributions
Chapter 6: Trigonometric Functions
Chapter 7: Linear Programming
Chapter 8: Kinematic Linear Motion
Chapter 3: Integration
What you need to learn in this chapter
In this chapter, we will be learning about integration, which is the inverse of differentiation.
We will explore the concept of indefinite integral, which involves finding the antiderivative of a function.
This will allow us to find the general solution to a differential equation.
We will also study definite integrals, which involve finding the area under a curve. Additionally, we will learn about the relationship between differentiation and integration, and how to deduce indefinite integral formulas using induction.
Finally, we will apply integration to solve real-world problems in various fields such as physics, economics, and engineering.
Topics in this chapter
1. Integration as the inverse of differentiation
What you will learn in this topic
- Explain the relationship between differentiation and integration
2. Indefinite Integral
What you will learn in this topic
- Deduce indefinite integral formula by induction
- Determine the indefinite integral of algebraic function
- Determine the indefinite integral of a function in (ax + b)^n formed, such that a and b are constant, n is an integer and n =/= 1
- Determine the equation of a curve from gradient function
3. Definite Integral
What you will learn in this topic
- Determine the value of definite integral for an algebraic function
- Investigate an explain the relationship between limit for the sum of area of a rectangular and area under the curve
- Determine the area of a region
- Investigate and explain the relationship between limit for the sum of volume of cylinder and the volume generated from the range of a region
- Determine the generated volume of a region that revolved about the x-axis or y-axis
4. Application of Integration
What you will learn in this topic
- Solving problems involving integration
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